What is the Greatest Common Factor of 42854 and 42868?

Greatest common factor (GCF) of 42854 and 42868 is 14.

GCF(42854,42868) = 14

We will now calculate the prime factors of 42854 and 42868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42854 and 42868.

How to find the GCF of 42854 and 42868?

We will first find the prime factorization of 42854 and 42868. After we will calculate the factors of 42854 and 42868 and find the biggest common factor number .

Step-1: Prime Factorization of 42854

Prime factors of 42854 are 2, 7, 3061. Prime factorization of 42854 in exponential form is:

42854 = 2¹ × 7¹ × 3061¹

Step-2: Prime Factorization of 42868

Prime factors of 42868 are 2, 7, 1531. Prime factorization of 42868 in exponential form is:

42868 = 2² × 7¹ × 1531¹

Step-3: Factors of 42854

List of positive integer factors of 42854 that divides 42854 without a remainder.

1, 2, 7, 14, 3061, 6122, 21427

Step-4: Factors of 42868

List of positive integer factors of 42868 that divides 42854 without a remainder.

1, 2, 4, 7, 14, 28, 1531, 3062, 6124, 10717, 21434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42854 and 42868. The biggest common factor number is the GCF number.
So the greatest common factor 42854 and 42868 is 14.

Also check out the Least Common Multiple of 42854 and 42868